Search a number
-
+
336140964 = 22329337249
BaseRepresentation
bin10100000010010…
…001101010100100
3212102111201201100
4110002101222210
51142023002324
653204400100
711221102545
oct2402215244
9772451640
10336140964
11162819755
12946a6030
1354842ca3
14329004cc
151e79c4c9
hex14091aa4

336140964 has 18 divisors (see below), whose sum is σ = 849689750. Its totient is φ = 112046976.

The previous prime is 336140963. The next prime is 336140969. The reversal of 336140964 is 469041633.

336140964 is a `hidden beast` number, since 33 + 614 + 0 + 9 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 329422500 + 6718464 = 18150^2 + 2592^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×3361409642 = 225981495357698592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 9337249 = 336140964 / (3 + 3 + 6 + 1 + 4 + 0 + 9 + 6 + 4).

It is not an unprimeable number, because it can be changed into a prime (336140963) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4668589 + ... + 4668660.

Almost surely, 2336140964 is an apocalyptic number.

It is an amenable number.

336140964 is an abundant number, since it is smaller than the sum of its proper divisors (513548786).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

336140964 is a wasteful number, since it uses less digits than its factorization.

336140964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9337259 (or 9337254 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 336140964 is about 18334.1474849528. The cubic root of 336140964 is about 695.3025365393.

The spelling of 336140964 in words is "three hundred thirty-six million, one hundred forty thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 9337249 18674498 28011747 37348996 56023494 84035241 112046988 168070482 336140964